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Spacetimes for λ-deformations
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DOI：10.1007/JHEP12(2014)164.png)
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Abstract
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We examine a recently proposed class of integrable deformations to two-dimensional conformal field theories. These lambda-deformations interpolate between a WZW model and the non-Abelian T-dual of a Principal Chiral Model on a group G or, between a G/H gauged WZW model and the non-Abelian T-dual of the geometric coset G/H. lambda-deformations have been conjectured to represent quantum group q-deformations for the case where the deformation parameter is a root of unity. In this work we show how such deformations can be given an embedding as full string backgrounds whose target spaces satisfy the equations of type-II supergravity. One illustrative example is a deformation of the Sl(2, R)/U(1) black-hole CFT. A further example interpolates between the SU(2)xSU(2)/SU(2) x SL(2,R) x SL(2,R)/SL(2,R) x U(1)(4) gauged WZW model and the non-Abelian T-dual of AdS(3) x S-3 x T-4 supported with Ramond flux.
Keywords:
Conformal Field Models in String Theory
Integrable Field Theories
String Duality
Sigma Models
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